c please     survey of 1000 adults from a certain region​ asked, "If purchasing a used car made certain upgrades or features more​ affordable, what would be your preferred luxury​ upgrade?" The results indicated that 58​% of the females and 51​% of the males answered window tinting. The sample sizes of males and females were not provided. Suppose that of 600 ​females, 348 reported window tinting as their preferred luxury upgrade of​ choice, while of 400 ​males, 204 reported window tinting as their preferred luxury upgrade of choice. Complete parts​ (a) through​ (d) below.       a. Is there evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the 0.05 level of​ significance?   State the null and alternative​ hypotheses, where π1 is the population proportion of females who said they prefer window tinting as a luxury upgrade and π2 is the population proportion of males who said they prefer window tinting as a luxury upgrade.     A. H0​: π1=π2 H1​: π1≠π2 Your answer is correct.   B. H0​: π1=π2 H1​: π1>π2   C. H0​: π1≠π2 H1​: π1=π2   D. H0​: π1≠π2 H1​: π1<π2   E. H0​: π1≠π2 H1​: π1>π2   F. H0​: π1=π2 H1​: π1<π2 Determine the value of the test statistic.   ZSTAT=2.182.18 ​(Type an integer or a decimal. Round to two decimal places as​ needed.) Determine the critical​ value(s) for this test of hypothesis.   The critical​ value(s) is​ (are) negative 1.96 comma 1.96−1.96, 1.96. ​(Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as​ needed.) State the conclusion.   Reject   the null hypothesis. There is sufficient   evidence to support the claim that there is a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade. b. Find the​ p-value in​ (a) and interpret its meaning.   The​ p-value in part​ (a) is 0.02920.0292. ​(Type an integer or a decimal. Round to three decimal places as​ needed.) What does the​ p-value mean?     A. The​ p-value is the probability of falsely rejecting the null hypothesis. Your answer is not correct.   B. The​ p-value is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true. This is the correct answer.   C. The​ p-value is the probability that the null hypothesis is true.   D. The​ p-value is the probability of rejecting the null hypothesis if the test were repeated for different samples. c. Construct and interpret a 95​% confidence interval estimate for the difference between the proportion of males and females who said they prefer window tinting as a luxury upgrade.   The confidence interval is 0.00710.0071 to 0.13290.1329. ​(Type integers or decimals. Round to four decimal places as needed. Use ascending​ order.) What does the confidence interval​ mean?   A researcher can be ▼     confident that the difference in the population proportions of males and females who said they prefer window tinting as a luxury upgrade is ▼     the interval.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
c please
 
 
survey of
1000
adults from a certain region​ asked, "If purchasing a used car made certain upgrades or features more​ affordable, what would be your preferred luxury​ upgrade?" The results indicated that
58​%
of the females and
51​%
of the males answered window tinting. The sample sizes of males and females were not provided. Suppose that of
600
​females,
348
reported window tinting as their preferred luxury upgrade of​ choice, while of
400
​males,
204
reported window tinting as their preferred luxury upgrade of choice. Complete parts​ (a) through​ (d) below.
 
 
 
a. Is there evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the
0.05
level of​ significance?
 
State the null and alternative​ hypotheses, where
π1
is the population proportion of females who said they prefer window tinting as a luxury upgrade and
π2
is the population proportion of males who said they prefer window tinting as a luxury upgrade.
 
 
A.
H0​:
π1=π2
H1​:
π1≠π2
Your answer is correct.
 
B.
H0​:
π1=π2
H1​:
π1>π2
 
C.
H0​:
π1≠π2
H1​:
π1=π2
 
D.
H0​:
π1≠π2
H1​:
π1<π2
 
E.
H0​:
π1≠π2
H1​:
π1>π2
 
F.
H0​:
π1=π2
H1​:
π1<π2
Determine the value of the test statistic.
 
ZSTAT=2.182.18
​(Type an integer or a decimal. Round to two decimal places as​ needed.)
Determine the critical​ value(s) for this test of hypothesis.
 
The critical​ value(s) is​ (are)
negative 1.96 comma 1.96−1.96, 1.96.
​(Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as​ needed.)
State the conclusion.
 
Reject
 
the null hypothesis. There is
sufficient
 
evidence to support the claim that there is a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade.
b. Find the​ p-value in​ (a) and interpret its meaning.
 
The​ p-value in part​ (a) is
0.02920.0292.
​(Type an integer or a decimal. Round to three decimal places as​ needed.)
What does the​ p-value mean?
 
 
A.
The​ p-value is the probability of falsely rejecting the null hypothesis.
Your answer is not correct.
 
B.
The​ p-value is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true.
This is the correct answer.
 
C.
The​ p-value is the probability that the null hypothesis is true.
 
D.
The​ p-value is the probability of rejecting the null hypothesis if the test were repeated for different samples.
c. Construct and interpret a
95​%
confidence interval estimate for the difference between the proportion of males and females who said they prefer window tinting as a luxury upgrade.
 
The confidence interval is
0.00710.0071
to
0.13290.1329.
​(Type integers or decimals. Round to four decimal places as needed. Use ascending​ order.)
What does the confidence interval​ mean?
 
A researcher can be
 
 
confident that the difference in the population proportions of males and females who said they prefer window tinting as a luxury upgrade is
 
 
the interval.
A survey of 1000 adults from a certain region asked, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 58% of the females and 51% of the
males answered window tinting. The sample sizes of males and females were not provided. Suppose that of 600 females, 348 reported window tinting as their preferred luxury upgrade of choice, while of 400 males, 204 reported window tinting as
their preferred luxury upgrade of choice. Complete parts (a) through (d) below.
ZSTAT = 2.18 (Type an integer or a decimal. Round to two decimal places as needed.)
Determine the critical value(s) for this test of hypothesis.
The critical value(s) is (are) - 1.96, 1.96.
(Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.)
State the conclusion.
Reject
the null hypothesis. There is
sufficient evidence to support the claim that there is a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade.
b. Find the p-value in (a) and interpret its meaning.
The p-value in part (a) is 0.0292.
(Type an integer or a
to three decimal places as needed.)
What does the p-valu
1%
A. The p-value is
of falsely rejecting the null hypothesis.
*B. The p-value is
5%
of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true.
O C. The p-value is
hat the null hypothesis is true.
90%
O D. The p-value is
of rejecting the null hypothesis if the test were repeated for different samples.
c. Construct and intei
95%
idence interval estimate for the difference between the proportion of males and females who said they prefer window tinting as a luxury upgrade.
The confidence inter
10%
0.1329
(Type integers or dec
four decimal places as needed. Use ascending order.)
99%
What does the confid
an?
A researcher can be
V confident that the difference in the population proportions of males and females who said they prefer window tinting as a luxury upgrade is
the interval.
Transcribed Image Text:A survey of 1000 adults from a certain region asked, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 58% of the females and 51% of the males answered window tinting. The sample sizes of males and females were not provided. Suppose that of 600 females, 348 reported window tinting as their preferred luxury upgrade of choice, while of 400 males, 204 reported window tinting as their preferred luxury upgrade of choice. Complete parts (a) through (d) below. ZSTAT = 2.18 (Type an integer or a decimal. Round to two decimal places as needed.) Determine the critical value(s) for this test of hypothesis. The critical value(s) is (are) - 1.96, 1.96. (Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.) State the conclusion. Reject the null hypothesis. There is sufficient evidence to support the claim that there is a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade. b. Find the p-value in (a) and interpret its meaning. The p-value in part (a) is 0.0292. (Type an integer or a to three decimal places as needed.) What does the p-valu 1% A. The p-value is of falsely rejecting the null hypothesis. *B. The p-value is 5% of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true. O C. The p-value is hat the null hypothesis is true. 90% O D. The p-value is of rejecting the null hypothesis if the test were repeated for different samples. c. Construct and intei 95% idence interval estimate for the difference between the proportion of males and females who said they prefer window tinting as a luxury upgrade. The confidence inter 10% 0.1329 (Type integers or dec four decimal places as needed. Use ascending order.) 99% What does the confid an? A researcher can be V confident that the difference in the population proportions of males and females who said they prefer window tinting as a luxury upgrade is the interval.
A survey of 1000 adults from a certain region asked, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 58% of the females and 51% of the
males answered window tinting. The sample sizes of males and females were not provided. Suppose that of 600 females, 348 reported window tinting as their preferred luxury upgrade of choice, while of 400 males, 204 reported window tinting as
their preferred luxury upgrade of choice. Complete parts (a) through (d) below.
ZSTAT = 2.18 (Type an integer or a decimal. Round to two decimal places as needed.)
Determine the critical value(s) for this test of hypothesis.
The critical value(s) is (are) - 1.96, 1.96.
(Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.)
State the conclusion.
Reject
the null hypothesis. There is
sufficient evidence to support the claim that there is a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade.
b. Find the p-value in (a) and interpret its meaning.
The p-value in part (a) is 0.0292.
(Type an integer or a decimal. Round to three decimal places as needed.)
What does the p-value mean?
CA. The p-value is the probability of falsely rejecting the null hypothesis.
B. The p-value is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true.
O C. The p-value is the probability that the null hypothesis is true.
O D. The p-value is the probability of rejecting the null hypothesis if the test were repeated for different samples.
c. Construct and interpret a 95% confidence interval estimate for the difference between the proportion of males and females who said they prefer window tinting as a li
greater than the upper bound of
The confidence interval is 0.0071 to 0.1329.
(Type integers or decimals. Round to four decimal places as needed. Use ascending order.)
contained in
less than the lower bound of
What does the confidence interval mean?
A researcher can be
V confident that the difference in the population proportions of males and females who said they prefer window tinting as a luxury upgrade is
the interval.
Transcribed Image Text:A survey of 1000 adults from a certain region asked, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 58% of the females and 51% of the males answered window tinting. The sample sizes of males and females were not provided. Suppose that of 600 females, 348 reported window tinting as their preferred luxury upgrade of choice, while of 400 males, 204 reported window tinting as their preferred luxury upgrade of choice. Complete parts (a) through (d) below. ZSTAT = 2.18 (Type an integer or a decimal. Round to two decimal places as needed.) Determine the critical value(s) for this test of hypothesis. The critical value(s) is (are) - 1.96, 1.96. (Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.) State the conclusion. Reject the null hypothesis. There is sufficient evidence to support the claim that there is a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade. b. Find the p-value in (a) and interpret its meaning. The p-value in part (a) is 0.0292. (Type an integer or a decimal. Round to three decimal places as needed.) What does the p-value mean? CA. The p-value is the probability of falsely rejecting the null hypothesis. B. The p-value is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true. O C. The p-value is the probability that the null hypothesis is true. O D. The p-value is the probability of rejecting the null hypothesis if the test were repeated for different samples. c. Construct and interpret a 95% confidence interval estimate for the difference between the proportion of males and females who said they prefer window tinting as a li greater than the upper bound of The confidence interval is 0.0071 to 0.1329. (Type integers or decimals. Round to four decimal places as needed. Use ascending order.) contained in less than the lower bound of What does the confidence interval mean? A researcher can be V confident that the difference in the population proportions of males and females who said they prefer window tinting as a luxury upgrade is the interval.
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